Similarity implies homotopy of idempotents in Banach algebras of stable rank one |
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| Authors: | Julien Giol |
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| Institution: | (1) Department of Mathematics, Texas A&M University, College Station, Mailstop 3368, TX 77843-3368, USA |
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| Abstract: | We establish the property stated in the title by means of an elementary construction: in a Banach algebra of stable rank one,
any two similar idempotents can be connected by a piecewise affine path of idempotents consisting of at most 3 affine steps.
Received: 1 February 2006 |
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| Keywords: | 19A99 46H20 |
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